A fractal [1]} is a beautiful and infinite pattern that is self-similar from the macroscopic to the microscopic. Such objects are not integer dimensional in the conventional sense. Fractal dimensional analysis can identify and quantify how the geometry of patterns repeat from one size to another. Scaling laws are at the heart of fractal analyses. Many natural and social-economic phenomena display a scale distribution [2]}, [3]}, [4]}, [1]}, including coastline and mountain formations. These distributions are approximate fractals, i.e., that they appear scale-invariant in a certain range of scales. It is well understood that while ideal fractals exist as mathematical constructions, the fractal structures found in nature are approximate.
